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Simplifying w2 + 10w + -7896 = 0 Reorder the terms: -7896 + 10w + w2 = 0 Solving -7896 + 10w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-94 + -1w)(84 + -1w) = 0Subproblem 1
Set the factor '(-94 + -1w)' equal to zero and attempt to solve: Simplifying -94 + -1w = 0 Solving -94 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '94' to each side of the equation. -94 + 94 + -1w = 0 + 94 Combine like terms: -94 + 94 = 0 0 + -1w = 0 + 94 -1w = 0 + 94 Combine like terms: 0 + 94 = 94 -1w = 94 Divide each side by '-1'. w = -94 Simplifying w = -94Subproblem 2
Set the factor '(84 + -1w)' equal to zero and attempt to solve: Simplifying 84 + -1w = 0 Solving 84 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -1w = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -1w = 0 + -84 -1w = 0 + -84 Combine like terms: 0 + -84 = -84 -1w = -84 Divide each side by '-1'. w = 84 Simplifying w = 84Solution
w = {-94, 84}
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